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dc.contributor.authorTYSON, CJen_US
dc.date.accessioned2015-06-10T16:14:57Z
dc.date.issued2013en_US
dc.identifier.issn0304-4068en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0304406813000256
dc.identifier.urihttp://qmro.qmul.ac.uk/xmlui/handle/123456789/7659
dc.description.abstractA discrete symmetry of a preference relation is a mapping from the domain of choice to itself under which preference comparisons are invariant; a continuous symmetry is a one-parameter family of such transformations that includes the identity; and a symmetry field is a vector field whose trajectories generate a continuous symmetry. Any continuous symmetry of a preference relation implies that its representations satisfy a system of PDEs. Conversely the system implies the continuous symmetry if the latter is generated by a field. Moreover, solving the PDEs yields the functional form for utility equivalent to the symmetry. This framework is shown to encompass a variety of representation theorems related to univariate separability, multivariate separability, and homogeneity, including the cases of Cobb–Douglas and CES utilityen_US
dc.description.sponsorshipr. The work reported here was supported by a research fellowship from Nuffield College, Oxforden_US
dc.format.extent266 - 277 (11)en_US
dc.languageEnglishen_US
dc.language.isoenen_US
dc.publisherElsevier/Science Directen_US
dc.relation.ispartofJournal of Mathematical Economicsen_US
dc.subjectContinuous symmetryen_US
dc.subjectSeparabilityen_US
dc.subjectSmooth preferencesen_US
dc.subjectUtility representationen_US
dc.titlePreference symmetries, partial differential equations, and functional forms for utilityen_US
dc.typeArticle
dc.identifier.doi10.1016/j.jmateco.2013.03.001en_US
pubs.issue4en_US
pubs.notesNo embargoen_US
pubs.organisational-group/Queen Mary University of London
pubs.organisational-group/Queen Mary University of London/Faculty of Humanities, Social Sciences & Law
pubs.organisational-group/Queen Mary University of London/Faculty of Humanities, Social Sciences & Law/Economics and Finance - Staff
pubs.publication-statusPublisheden_US
pubs.publisher-urlhttp://www.sciencedirect.com/science/article/pii/S0304406813000256en_US
pubs.volume49en_US


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